Atkin-Lehner |
2+ 7- 41- |
Signs for the Atkin-Lehner involutions |
Class |
128576bg |
Isogeny class |
Conductor |
128576 |
Conductor |
∏ cp |
8 |
Product of Tamagawa factors cp |
deg |
387072 |
Modular degree for the optimal curve |
Δ |
54214586761216 = 215 · 79 · 41 |
Discriminant |
Eigenvalues |
2+ 1 3 7- -4 2 3 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-36129,2607359] |
[a1,a2,a3,a4,a6] |
Generators |
[3225:2744:27] |
Generators of the group modulo torsion |
j |
3944312/41 |
j-invariant |
L |
10.526564356792 |
L(r)(E,1)/r! |
Ω |
0.63234705084874 |
Real period |
R |
2.0808518393422 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
1.0000000157603 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
128576bn1 64288h1 128576v1 |
Quadratic twists by: -4 8 -7 |